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A chemical cell of emf E has negligible ...

A chemical cell of emf E has negligible internal resistance. It is connected to a variable resistance (R) which changes linearly from `20 Omega` to `40 Omega` in `20` minute and thereafter becomes constant. It was found that the cell lost `10 %` of its total chemical energy in first 20 minute after the switch was closed. How long will the energy in the cell last?

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The correct Answer is:
`20 + 360 l n2`
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